Question

Point M( -3, -2) is rotated 270° counterclockwise and then reflected over the x-axis. What are the coordinates of M'?

Answer 1

Rotation involves moving a point around a center

The coordinates of M" are (-2,-3)

How to determine the coordinates of M'

The pre-image M is given as:

M =(-3,-2)

The rule of 270 degrees counterclockwise rotation is:

$(x,y) \to (y,-x)$

So, we have:

M' = (-2,3)

The rule of reflection over the x-axis is:

$(x,y) \to (x,-y)$

So, we have:

M" = (-2,-3)

Hence, the coordinates of M" are (-2,-3)

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